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Finding the Fourth Proportional to 82,917.26, 114,428.90 and 47,113.32

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Solution

The fourth proportional to 82,917.26, 114,428.90 and 47,113.32 is: 65,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,917.26 : 114,428.90 = 47,113.32 : x
  2. Step 2: Convert to fraction form
    82,917.26/114,428.90 = 47,113.32/x
  3. Step 3: Cross multiply
    82,917.26x = 114,428.90 × 47,113.32
  4. Step 4: Simplify right side
    82,917.26x = 5,391,125,147.38
  5. Step 5: Solve for x
    x = 5,391,125,147.38/82,917.26
  6. Step 6: Final answer
    x = 65,018.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.